We studied also the case of \(X=\bar{X}=x\) , \(T \ne 0\) . Using the R-symmetry one can choose the vev of the \(X\)  field to be real. We have found that the minimum of the potential is at \(X\sim t\)  for non-vanishing \(T\) . The corresponding potentials are shown in Fig. REF  for the case \(X=\bar{X}=x\) , \(T= \bar{T} \ne 0\)  at decreasing time.
The potential at \(X=\bar{X}=x\)  as a function of \(T=\bar{T} =y\)  has a flat direction as it is proportional to \(t\)  at all values of \(T\ne 0\) . It means that at \(t=0\)  along the valley \(V=0\)  there is a massless scalar field in [1]}, which is absent in the VA theory. Once again we have shown that the model in [1]} is not representing the VA theory with a non-linear supersymmetry.
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